Image for Perrin

Perrin

Perrin’s theorem helps us understand how the numbers of particles in a gas relate to its temperature, pressure, and volume when the particles have significant size. It adjusts the ideal gas law by accounting for the particles’ volume and the way they tend to stick together (cohesion). This makes it more accurate for real gases, especially at high pressures or low temperatures, where particles are close and interactions matter. In essence, Perrin’s theorem refines our predictions of gas behavior by considering the finite size and interactions of molecules, leading to better models of real-world gases.